Integers can be used to describe temperature, currency, and sea level.
Examples:
- A drop of 30 degrees = -30
- 25 meters above sea level = 25
-A 30-dollar deposit = 30
With this said, absolute values can also be used in real world situations.
Absolute value can be applied when it comes to distance, such as how far a object is from you, whether it's in front or behind you.
Answer:
75.9 km/hr
Step-by-step explanation:
Distance between the highway and farmhouse is given as = 2km = a
The distance after the intersection and the highway = b
Let the distance between the farmhouse and the car = c
Using the Pythagoras Theorem rule
c² = a² + b²
c² = 2² + b²
Step 1
Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time
c² = 2² + b²
dc/dt (2c) = 4 + 2b
dc/dt =[ b/(√b² + 4)] × db/dt
We are told in the question that:
the car travels past the farmhouse on on the highway at a speed of 80 km/h.
We are asked to calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road.
This calculated using the obtained differentiation above:
dc/dt = [ b/(√b² + 4)] × db/dt
Where b = 6km
db/dt = 80km/hr
[6/(√6² + 4)] × 80km/hr
6/√36 + 4 × 80km/hr
6 × 80/√40
480/√40
= 75.894663844km/hr
Approximately = 75.9km/hr
Answer: 2160 km
Step-by-step explanation:
Simple Proportion
11 liters -> 792km
1 liter -> 792/11 =72 km
30 liters -> 30*72 = 2160km
